All categories

3 years ago

Write the function of the graph

Mathematics

2 answers:

algol133 years ago

6 0

The answer is c.

You can find the solution to the problem without even doing any work! The y intercept is the first number in the equation. Your function crosses the y axis at (2,0). Option c is the only option that lists the y intercept as 2. Therefore, it’s your answer.

anzhelika [568]3 years ago

3 0

Answer:

y = 4[2]^x

Step-by-step explanation:

One possible model for this function is the exponential y = a(b)^(kx). Notice that if x = 0, y = a, and so, from the graph, we see that a = 4.

Then we have the exponential y = 4(b)^(kx). Substitute 8 for y and 1 for x:

8 = 4(b)^(k), or 2 = b^k.

Then y = a(b)^(kx) becomes y = 4(b)^(kx) = 4[b^k]^x = 4[2]^x = y

The desired function is y = 4[2]^x.

Check this out. Does the point (0, 4) satisfy this function?

Is 4 = 4[2]^0 true? YES, it is.

Is 8 = 4[2]^1 true? Is 8 = 4(2) true? YES, it is

You might be interested in

A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that c

Roman55 [17]

Answer:

total balls in the Machine = 7+5+4 = 16

Step-by-step explanation:

METHOD-1

Probability of First ball to be Blue = 7/(7+5+4) = 7/16

Probability of Second ball to be Green = 5/(15) = 5/15 [15 balls remaining after one being taken out in Step 1]

Probability of Third ball to be red = 4/(14) = 4/14 [14 balls remaining after Two being taken out in Step 1&2]

But this can happen in any order so the orders in which it can happen = 3!

i.e. Final Probability that machine dispenses one gumball of each color = (7/16)*(5/15)*(4/14)*3! = 1/4

Answer: Option E

METHOD-2

The total ways in which three balls can be Picked out of a total of 16 balls (with orders) = 16*15*14 = 840

The ways in which three balls of different colors can be taken out (with orders) = 7*5*4*3! = 3360

Probability = Favourable Outcome / Total Outcomes

i.e Probability = 840 / 3360 = 1/4

Answer: Option E

METHOD-3

The total ways in which three balls can be Picked out of a total of 16 balls (without orders) = 16C3 = 560

The ways in which three balls of different colors can be taken out (with orders) = 7C1 * 5C1 *4C1 = 140

Probability = Favourable Outcome / Total Outcomes

i.e Probability = 140 / 560 = 1/4

Answer: Option E

7 0

3 years ago

What function represents exponential decay?

11Alexandr11 [23.1K]

Answer:

There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = bx when b > 1, the function represents exponential growth. In the function f (x) = bx when 0 < b < 1, the function represents exponential decay.

Step-by-step explanation:

4 0

3 years ago

Jason is building a 1 : 180 scale model of a real castle. his model has a rectangular base that is 3 feet wide and 4 feet long.w

balu736 [363]

The area of the actual castle would be 388,800 sq. ft.

We would multiply each of the sides of the scale model both by 180 to find the side lengths of the actual castle.

So...
180 x 4 = 720
180 x 3 = 540

If Area is equal to Length Times Width, all thats left to do is to multiply the two sides together.

720 x 540 = 388,800

Hope this helped! :D

3 0

3 years ago

Given the graph of f(x), determine the range of f−1(x).

11Alexandr11 [23.1K]

The graph of f(x) has a horizontal asymptote at y = 3, so its range is the interval union (-∞, 3) U (3, ∞).

The domain of its inverse is the same as the range of f, so the fourth option is correct.

7 0

2 years ago

Solve this system of linear inequalities ( will give brainiest)

lakkis [162]

From the graphs you can see that the graph of the line $y= \frac{1}{3} x-3$ lies under the graph of the line $y= \frac{1}{3} x-1$ . Then all solutions of unequality $y\le \frac{1}{3} x-3$ are solutions of unequality $y\le \frac{1}{3} x-1$ , but not all solutions of unequality $y\le \frac{1}{3} x-1$ are solutions of unequality $y\le \frac{1}{3} x-3$ .
For example, if x=1, y=-2
$-2\le \frac{1}{3} \cdot 1-1 =- \frac{2}{3} \\ -2\ \textgreater \ \frac{1}{3} \cdot 1-3=- \frac{8}{3}$ .
Answer: Correct choice is B.

3 0

4 years ago